2713811040 has 480 divisors, whose sum is σ = 10274584320. Its totient is φ = 672592896.

The previous prime is 2713811017. The next prime is 2713811123. The reversal of 2713811040 is 401183172.

2713811040 is a `hidden beast` number, since 271 + 381 + 10 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2713810995 and 2713811013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25362667 + ... + 25362773.

It is an arithmetic number, because the mean of its divisors is an integer number (21405384).

Almost surely, 2^2713811040 is an apocalyptic number.

2713811040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2713811040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5137292160).

2713811040 is an abundant number, since it is smaller than the sum of its proper divisors (7560773280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2713811040 is a wasteful number, since it uses less digits than its factorization.

2713811040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 2713811040 is about 52094.2515062843. The cubic root of 2713811040 is about 1394.8468787882.

The spelling of 2713811040 in words is "two billion, seven hundred thirteen million, eight hundred eleven thousand, forty".